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Finding the Fourth Proportional to 417.78, 576.76 and 313.44

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Solution

The fourth proportional to 417.78, 576.76 and 313.44 is: 432.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.78 : 576.76 = 313.44 : x
  2. Step 2: Convert to fraction form
    417.78/576.76 = 313.44/x
  3. Step 3: Cross multiply
    417.78x = 576.76 × 313.44
  4. Step 4: Simplify right side
    417.78x = 180,779.65
  5. Step 5: Solve for x
    x = 180,779.65/417.78
  6. Step 6: Final answer
    x = 432.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.